SOLUTION: A sports store owner is a making a display with 200 baseballs. He is placing them in the shape of a square pyramid. The bottom layer has 64 baseballs placed in the shape of a squar

Question 753607: A sports store owner is a making a display with 200 baseballs. He is placing them in the shape of a square pyramid. The bottom layer has 64 baseballs placed in the shape of a square. For each consecutive layer of baseballs, one baseball is placed where 4 baseballs meet. How many layers will be in the pyramid? How many baseballs will be left over?
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
For each pair of rows on the bottom layer, there are 7 positions where 4 balls meet, and there are 7 such pairs of rows on the bottom layer.
Similarly, for the 3rd row there are 6 positions for each pair of rows and 6 pairs of rows.
And so on, up the pyramid.
So the number of balls in successive rows are squares of integers counting down from 8:
8^2,7^2,6^2,...
64+49+36+25+16+9 = 199
So there is one ball left over
RELATED QUESTIONS
The MIA Sports Shop sold 10 baseballs, 3 hats, and 2 bases for $99 on Monday. On Tuesday, (answered by richwmiller)

Andre is making a rectangle by placing 25 square tiles in a row. What is the perimeter,... (answered by Fombitz)

Nathaniel is making a display of packages of prism chocolate in his candy shop. He will... (answered by stanbon)

Suppose a grocer is going to set up a pyramid-shaped display of cantaloupes like the... (answered by ikleyn)

A baseball display case is in the shape of a cube. what is the volume of the display... (answered by edjones)

RETAIL DISPLAYS You work in a grocery store and you are stacking apples in the shape of... (answered by richard1234)

Coach shaw is buying baseball equipment for his team. He gets a reduced rate if he buys 8 (answered by Theo)

If there is a pyramid whose base is a 6�6 square and whose height is 6. square pyramid,... (answered by Alan3354)

A bag of baseballs costs $12. There are 15 balls in the bag. Another bag of baseballs... (answered by Fombitz)